Relative rearrangement and interpolation inequalities.

Rakotoson, J. Michel. "Relative rearrangement and interpolation inequalities.." RACSAM 97.1 (2003): 133-145. <http://eudml.org/doc/40965>.

@article{Rakotoson2003,
abstract = {We prove here that the Poincaré-Sobolev pointwise inequalities for the relative rearrangement can be considered as the root of a great number of inequalities in various sets not necessarily vector spaces. In particular, new interpolation inequalities can be derived.},
author = {Rakotoson, J. Michel},
journal = {RACSAM},
keywords = {Funciones de variable real; Desigualdades; Ecuaciones funcionales; Interpolación; Espacios normados; Sobolev embeddings; monotone rearrangement; relative rearrangement; interpolation; normed spaces},
language = {eng},
number = {1},
pages = {133-145},
title = {Relative rearrangement and interpolation inequalities.},
url = {http://eudml.org/doc/40965},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Rakotoson, J. Michel
TI - Relative rearrangement and interpolation inequalities.
JO - RACSAM
PY - 2003
VL - 97
IS - 1
SP - 133
EP - 145
AB - We prove here that the Poincaré-Sobolev pointwise inequalities for the relative rearrangement can be considered as the root of a great number of inequalities in various sets not necessarily vector spaces. In particular, new interpolation inequalities can be derived.
LA - eng
KW - Funciones de variable real; Desigualdades; Ecuaciones funcionales; Interpolación; Espacios normados; Sobolev embeddings; monotone rearrangement; relative rearrangement; interpolation; normed spaces
UR - http://eudml.org/doc/40965
ER -